%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:01:02 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.27s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 34 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16_is_p11_3) ).
fof(f8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0] :
( p11(f9(X0))
| ~ p11(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_9) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
fof(f18,negated_conjecture,
! [X0] :
( p3(f4(X0),f6(f8(X0)))
| ~ p11(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
fof(f19,negated_conjecture,
! [X0] :
( p10(f4(f9(X0)),f4(X0))
| ~ p11(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_19) ).
fof(f25,negated_conjecture,
! [X0,X1] :
( ~ p12(X1,c15)
| ~ p11(X0)
| ~ p3(f4(X0),f6(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p10(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X3,X1)
| ~ p10(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ p10(X0,X2)
| ~ p3(X2,f6(X3))
| ~ p3(X0,f6(X1))
| p12(X1,X3) ),
inference(resolution,[],[f26,f11]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ p3(f4(f9(X0)),f6(X2))
| ~ p3(f4(X0),f6(X1))
| p12(X2,X1)
| ~ p11(X0) ),
inference(resolution,[],[f28,f19]) ).
fof(f32,plain,
! [X0,X1] :
( ~ p3(f4(X0),f6(X1))
| p12(f8(f9(X0)),X1)
| ~ p11(X0)
| ~ p11(f9(X0)) ),
inference(resolution,[],[f29,f18]) ).
fof(f34,plain,
! [X0,X1] :
( p12(f8(f9(X0)),X1)
| ~ p3(f4(X0),f6(X1))
| ~ p11(X0) ),
inference(forward_subsumption_resolution,[],[f32,f9]) ).
fof(f57,plain,
! [X0,X1] :
( ~ p3(f4(X0),f6(c15))
| ~ p11(X0)
| ~ p11(X1)
| ~ p3(f4(X1),f6(f8(f9(X0)))) ),
inference(resolution,[],[f34,f25]) ).
fof(f102,plain,
! [X0] :
( ~ p11(c16)
| ~ p11(X0)
| ~ p3(f4(X0),f6(f8(f9(c16)))) ),
inference(resolution,[],[f57,f8]) ).
fof(f104,plain,
! [X0] :
( ~ p3(f4(X0),f6(f8(f9(c16))))
| ~ p11(X0) ),
inference(forward_subsumption_resolution,[],[f102,f3]) ).
fof(f105,plain,
( ~ p11(f9(c16))
| ~ p11(f9(c16)) ),
inference(resolution,[],[f104,f18]) ).
fof(f107,plain,
~ p11(f9(c16)),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f112,plain,
~ p11(c16),
inference(resolution,[],[f107,f9]) ).
fof(f114,plain,
$false,
inference(forward_subsumption_resolution,[],[f112,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n008.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 16:32:40 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.27 % (2384039)Input is clausal, will run a generic CNF schedule.
% 3.49/1.27 % (2384046)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1090432799:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.27 % (2384049)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1477470509:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.27 % (2384045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4190983024:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.27 % (2384047)lrs+10_1_sil=8000:sp=occurrence:random_seed=1791057197:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.27 % (2384048)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4213867170:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.27 % (2384050)dis-21_1_sil=8000:lcm=predicate:random_seed=3194727068:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.49/1.27 % (2384044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=194677845:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.27 % (2384049)First to succeed.
% 3.49/1.27 % (2384049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2384039"
% 3.49/1.27 % (2384048)Also succeeded, but the first one will report.
% 3.49/1.27 % (2384047)Also succeeded, but the first one will report.
% 3.49/1.27 % (2384050)Also succeeded, but the first one will report.
% 3.49/1.27 % (2384049)Refutation found. Thanks to Tanya!
% 3.49/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.27 % (2384049)------------------------------
% 3.49/1.27 % (2384049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (2384049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (2384049)CaDiCaL version: 2.1.3
% 3.49/1.27 % (2384049)Termination reason: Refutation
% 3.49/1.27 % (2384049)Time elapsed: 0.005 s
% 3.49/1.27 % (2384049)Peak memory usage: 88 MB
% 3.49/1.27 % (2384049)Instructions burned: 6 (million)
% 3.49/1.27 % (2384049)------------------------------
% 3.49/1.27 % (2384049)------------------------------
% 3.49/1.27 % (2384039)Success in time 0.408 s
% 3.49/1.27 % Vampire exiting
%------------------------------------------------------------------------------